Question

The total surface area of a cube is 294 sq.cm Find its volume.​

Answer 1

Given :

⬤ Total Surface Area of Cube is 294 cm² .

To Find :

⬤ Volume of Cube .

Formula Used :

$\bf[\:{Total \: Surface \: Area \: of \: Cube = 6{a}^{2}\:]}$

Solution :

First , We have to Calculate the Side of Cube . Hence ,

According to the Formula :-

6a²

294 = 6a²

294/6 = a²

49 = a²

√49 = a

7 = a

Therefore , The Side of the Cube is 7 cm .

Formula Used :

$\bf[\:{Volume \: of \: Cube = {(Side)}^{3}\:]}$

Now :

According to the Formula :-

(Side)³

7 × 7 × 7

343

Therefore , Volume of Cube is 343 cm³ .

Answer 2

Answer:

Total surface area of cube =6a2

=294cm2 (Given)

Here a is the edge length of cube

Therefore,

6a2 =294

a2 = 294/6

⇒a= √49 =7cm

∴ Volume of cube

=a3

= (7)3 =343cm3

Hope this is helpful for you.